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220773696 = 263112131743
BaseRepresentation
bin11010010100010…
…11110101000000
3120101102110120120
431022023311000
5423004224241
633523540240
75320355043
oct1512136500
9511373516
10220773696
11103691600
1261b2a680
133697b930
142146cc5a
15145ae666
hexd28bd40

220773696 has 336 divisors, whose sum is σ = 749149632. Its totient is φ = 56770560.

The previous prime is 220773671. The next prime is 220773697. The reversal of 220773696 is 696377022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220773697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5134251 + ... + 5134293.

It is an arithmetic number, because the mean of its divisors is an integer number (2229612).

Almost surely, 2220773696 is an apocalyptic number.

220773696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220773696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374574816).

220773696 is an abundant number, since it is smaller than the sum of its proper divisors (528375936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220773696 is a wasteful number, since it uses less digits than its factorization.

220773696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 220773696 is about 14858.4553705962. The cubic root of 220773696 is about 604.3879209127.

The spelling of 220773696 in words is "two hundred twenty million, seven hundred seventy-three thousand, six hundred ninety-six".